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Finding the Third Proportional to 146,214.75 and 303,921.38

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Solution

The third proportional to 146,214.75 and 303,921.38 is: 631,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,214.75 : 303,921.38 = 303,921.38 : x
  2. Step 2: Convert to fraction form
    146,214.75/303,921.38 = 303,921.38/x
  3. Step 3: Cross multiply
    146,214.75x = 303,921.38 × 303,921.38
  4. Step 4: Simplify right side
    146,214.75x = 92,368,202,181.89
  5. Step 5: Solve for x
    x = 92,368,202,181.89/146,214.75
  6. Step 6: Final answer
    x = 631,729.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.